580290560 has 96 divisors (see below), whose sum is σ = 1416706200. Its totient is φ = 228065280.

The previous prime is 580290541. The next prime is 580290583. The reversal of 580290560 is 65092085.

It can be written as a sum of positive squares in 4 ways, for example, as 124724224 + 455566336 = 11168^2 + 21344^2 .

It is a super-2 number, since 2×580290560² = 673474268050227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 580290560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624176 + ... + 625104.

Almost surely, 2^580290560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708353100).

580290560 is an abundant number, since it is smaller than the sum of its proper divisors (836415640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580290560 is an equidigital number, since it uses as much as digits as its factorization.

580290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 580290560 is about 24089.2208259213. The cubic root of 580290560 is about 834.0943292064.

The spelling of 580290560 in words is "five hundred eighty million, two hundred ninety thousand, five hundred sixty".